83655264000000 has 1344 divisors, whose sum is σ = 347599625667840. Its totient is φ = 17381376000000.

The previous prime is 83655263999999. The next prime is 83655264000163. The reversal of 83655264000000 is 46255638.

83655264000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7391994342 + ... + 7392005658.

It is an arithmetic number, because the mean of its divisors is an integer number (258630673860).

Almost surely, 2^{83655264000000} is an apocalyptic number.

83655264000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83655264000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173799812833920).

83655264000000 is an abundant number, since it is smaller than the sum of its proper divisors (263944361667840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83655264000000 is an equidigital number, since it uses as much as digits as its factorization.

83655264000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 83655264000000 in words is "eighty-three trillion, six hundred fifty-five billion, two hundred sixty-four million", and thus it is an aban number.